1. Create a web data connector to connect to the logs hosted on the site and create an extract: Web Data Connector

2. Migrate to a DB to connect with Tableau

3. Look at the data weekly.

Honestly, I would go with option 1 or 2. Lowering your scope to look at weeks is likely a band-aid solution that may not let you do the level of analysis you eventually decide you want to do. The sooner you migrate to a database, the better set you are for the future. Also, once your data is in a DB, you can filter to only connect to certain subsets of data to improve the speed of your analysis if you so choose.